Law of Sines

Identify the Law of Sines

• $\sin^2x+\cos^2x=1$

• $\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

• $\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

• Soh Cah Toa

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following scenarios would you be unable to use Law of Sines?

• AAS

• ASA

• SSA

• SSS

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

For which scenario would you need to use the ambiguous case?

• SSS

• AAS

• ASA

• SSA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which equation shows how you would use the law of sines to find angle A?

•  $\frac{\sin44}{26}=\frac{\sin\ A}{23}$ 

•  $\frac{\sin\ 26}{44}=\frac{\sin\ 23}{A}$ 

•  $\frac{\sin\ 44}{23}=\frac{\sin\ A}{26}$ 

•  $\frac{\sin23}{44}=\frac{\sin\ 26}{A}$ 

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which equation shows how you would use the law of sines to find angle B?

• $\frac{\sin79}{41}=\frac{\sin\ B}{35}$

• $\frac{\sin\ 41}{79}=\frac{\sin\ 35}{B}$

• $\frac{\sin\ 79}{35}=\frac{\sin\ B}{41}$

• $\frac{\sin35}{79}=\frac{\sin\ 41}{B}$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which equation shows how you would use the law of sines to find side c?

•  $\frac{\sin41}{19}=\frac{\sin\ 75}{c}$ 

•  $\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}$ 

•  $\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}$ 

•  $\frac{\sin19}{41}=\frac{\sin\ c}{75}$ 

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AC to the nearest tenth.

• 33.4

• 35

• 31.9

• 30

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find  $m\angle Y$   to the nearest tenth.

•  $39\degree$  

•  $34\degree$  

•  $35.1\degree$  

•  $30\degree$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find PQ to the nearest tenth.

• 17

• 18.7

• 15.7

• 14.7

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find XZ to the nearest whole number.

• 48

• 45

• 46

• 43

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11